The fundamental frequency of a closed organ pipe of length $20\; cm$ is equal to the second overtone of an organ pipe open at both the ends. The length of organ pipe open at both the ends is ...... $cm$
AIPMT 2015, Medium
Download our app for free and get started
Fundamental frequency of closed organ pipe $=\frac{ v }{4 \ell_{ c }}$
$2^{nd}$ overtone frequency of open organ pipe $=\frac{3 v }{2 \ell_0}$
$\frac{ v }{4 \ell_{ c }}=\frac{3 v }{2 \ell_0}$
$\Rightarrow \ell_0=6 \ell_{ c }=6(20 cm )=120\; cm$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1Regarding speed of sound in gas match the followingView Solution
$(A)$ Temperature of gas is made $4$ times and pressure $2$ times
$(P)$ Speed becomes $2\sqrt 2$ times
$(B)$ Only pressure is made $4$ times without change in temperature
$(Q)$ Speed become $2$ times
$(C)$ Only temperature is changed to $4$ times
$(R)$ Speed remains unchanged
$(D)$ Molecular mass of the gas is made $4$ times
$(S)$ Speed becomes half
- 2A transverse wave travels along $x$-axis. The particles of medium moveView Solution
- 3A pipe’s lower end is immersed in water such that the length of air column from the top open end has a certain length $25\,\, cm$. The speed of sound in air is $350 \,\,m/s$. The air column is found to resonate with a tuning fork of frequency $1750 \,\,Hz$. By what minimum distance should the pipe be raised in order to make the air column resonate again with the same tuning fork ... $cm$ ?View Solution
- 4A car $P$ approaching a crossing at a speed of $10\, m/s$ sounds a horn of frequency $700\, Hz$ when $40\, m$ in front of the crossing. Speed of sound in air is $340\, m/s$. Another car $Q$ is at rest on a road which is perpendicular to the road on which car $P$ is reaching the crossing (see figure). The driver of car $Q$ hears the sound of the horn of car $P$ when he is $30\, m$ in front of the crossing. The apparent frequency heard by the driver of car $Q$ is .... $Hz$View Solution
- 5A source of sound is travelling at $\frac{{100}}{3}\,m/\sec $ along a road, towards a point $A$, when the source is $3\, m$ away from $A$, a person standing at a point $O$ on a road at perpendicular position. The distance of $O$ from $A$ at that time is $4\,m$. If the original frequency is $640\, Hz$,then the value of apperent frequency listen by person is ...... $Hz$ (speed of sound is $340\, m/sec$)View Solution
- 6Two pulses on a string approach each other at speeds of $1 m/s$. What is the shape of the string at $t = 3s$ :-View Solution
- 7A closed organ pipe has a frequency $'n'$. If its length is doubled and radius is halved, its frequency nearly becomes-View Solution
- 8A sonometer wire of length $114\, cm$ is fixed at both the ends. Where should the two bridges be placed so as to divide the wire into three segments whose fundamental frequencies are in the ratio $1 : 3 : 4$ ?View Solution
- 9Equation of motion in the same direction are given byView Solution
${y_1} = 2a\sin (\omega t - kx)$ and ${y_2} = 2a\sin (\omega t - kx - \theta )$
The amplitude of the medium particle will be
- 10Equation of the progressive wave is given by : $y = a\sin \pi (40t - x)$ where $a$ and $x$ are in metre and $t$ in second. The velocity of the wave is ..... $m/s$View Solution